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210221020 = 225731371051
BaseRepresentation
bin11001000011110…
…11011111011100
3112122120100000201
430201323133130
5412304033040
632505433244
75131564162
oct1441733734
9478510021
10210221020
11a8734189
125a49b824
1334725649
141dcc3232
15136c7a9a
hexc87b7dc

210221020 has 48 divisors (see below), whose sum is σ = 451207008. Its totient is φ = 82252800.

The previous prime is 210221003. The next prime is 210221027. The reversal of 210221020 is 20122012.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 210220988 and 210221006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210221027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199495 + ... + 200545.

It is an arithmetic number, because the mean of its divisors is an integer number (9400146).

Almost surely, 2210221020 is an apocalyptic number.

210221020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210221020 is an abundant number, since it is smaller than the sum of its proper divisors (240985988).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

210221020 is a wasteful number, since it uses less digits than its factorization.

210221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 210221020 is about 14499.0006552176. Note that the first 3 decimals coincide. The cubic root of 210221020 is about 594.6006500400.

Adding to 210221020 its reverse (20122012), we get a palindrome (230343032).

The spelling of 210221020 in words is "two hundred ten million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 73 137 146 274 292 365 548 685 730 1051 1370 1460 2102 2740 4204 5255 10001 10510 20002 21020 40004 50005 76723 100010 143987 153446 200020 287974 306892 383615 575948 719935 767230 1439870 1534460 2879740 10511051 21022102 42044204 52555255 105110510 210221020